GCF and LCM Calculator Logo

What is the Least Common Multiple of 12799 and 12817?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 12799 and 12817 is 164044783.

LCM(12799,12817) = 164044783

LCM Calculator and
and

Least Common Multiple of 12799 and 12817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12799 and 12817, than apply into the LCM equation.

GCF(12799,12817) = 1
LCM(12799,12817) = ( 12799 × 12817) / 1
LCM(12799,12817) = 164044783 / 1
LCM(12799,12817) = 164044783

Least Common Multiple (LCM) of 12799 and 12817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12799 and 12817. First we will calculate the prime factors of 12799 and 12817.

Prime Factorization of 12799

Prime factors of 12799 are 12799. Prime factorization of 12799 in exponential form is:

12799 = 127991

Prime Factorization of 12817

Prime factors of 12817 are 7, 1831. Prime factorization of 12817 in exponential form is:

12817 = 71 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 12799 and 12817.

LCM(12799,12817) = 127991 × 71 × 18311
LCM(12799,12817) = 164044783